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Finding the Fourth Proportional to 4,600.77, 6,346.91 and 2,831.73

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Solution

The fourth proportional to 4,600.77, 6,346.91 and 2,831.73 is: 3,906.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.77 : 6,346.91 = 2,831.73 : x
  2. Step 2: Convert to fraction form
    4,600.77/6,346.91 = 2,831.73/x
  3. Step 3: Cross multiply
    4,600.77x = 6,346.91 × 2,831.73
  4. Step 4: Simplify right side
    4,600.77x = 17,972,721.30
  5. Step 5: Solve for x
    x = 17,972,721.30/4,600.77
  6. Step 6: Final answer
    x = 3,906.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.